Combinatorics / CONCEPT
Catalan Root and Lagrange Coefficient Transform
The Catalan root supplies a formal substitution inverse used to recover the actual P13 series and transforms arbitrary rational-series coefficients through the original owner’s public Lagrange supplier.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH9
DOCUMENT LINKS1
The Catalan equation over ℚ
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A bad Anderson potential without nontrivial shared symmetrystructural-affinity · Closed
- Adjacent units from the actual defect geometrystructural-affinity · Closed
- All-size enumeration of matchings avoiding 132, 213 and 321structural-affinity · Closed
- Catalan powers preserve the two sequence classesstructural-affinity · Closed
- Coefficients of the Narayana Strip Productstructural-affinity · Closed
- Continuants for Bounded Dyck Path Seriesstructural-affinity · Closed
- Diagonal units propagate around a cyclestructural-affinity · Closed
- Enumeration of Nonnesting Permutations Avoiding 1322structural-affinity · Closed
- Hanna's dyadic vanishing conjecture for A271960structural-affinity · Closed
- Hanna's Lagrange parity conjecture for A365574structural-affinity · Closed
- Hanna's OEIS 386655 congruencestructural-affinity · Closed
- Hanna's OEIS 386656 congruencestructural-affinity · Closed
- Hanna's OEIS 386657 congruencestructural-affinity · Closed
- Hanna's OEIS 386658 congruencestructural-affinity · Closed
- Interfacestructural-affinity · Closed
- Nonnesting under Type I Insertionstructural-affinity · Closed
- PathCHSNormClosedFormstructural-affinity · Closed
- The binomial coefficient with an integer lower indexstructural-affinity · Closed
- Unique Terminal Factorizationstructural-affinity · Closed
- Weighted Terminal Enumerationstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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